A grocer had the same number of pears, lemons and mangosteens at first. After 46 mangosteens, some pears and lemons were set aside, there were 196 fruits left. There were four times as many pears as lemons left. The number of mangosteens left was 38 fewer than the number of pears. How many lemons were set aside?
| |
Pears |
Lemons |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 46 |
|
| After |
4 u |
1 u |
4 u - 38 |
196 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 38
= 9 u - 38
9 u - 38 = 196
9 u = 196 + 38
9 u = 234
1 u = 234 ÷ 9 = 26
Number of mangosteens at first
= 4 u - 38 + 46
= 4 x 26 - 38 + 46
= 104 - 38 + 46
= 112
The number of lemons and mangosteens at first was the same.
Number of lemons set aside
= 112 - 1 u
= 112 - 26
= 86
Answer(s): 86
